The first 3 are examples of the difference of 2 squares so you use the identity
a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0
so (x + 7)(x - 7) = 0
so either x + 7 = 0 or x - 7 = 0
giving x = -7 and 7.
Number 7 reduces to 3x^2 =12, x^2 = 4 so x = +/- 2
Number 8 take out GCf (d) to give
d(d - 2) = 0 so d = 0 , 2
9 and 10 are more difficult to factor
you use the 'ac' method Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end
that is 2 * 2 = 4
Now we want 2 numbers which when multiplied give + 4 and when added give - 5:- -1 and -4 seem promising so we write the equation as:-
2x^2 - 4x - x + 2 = 0
now factor by grouping
2x(x - 2) - 1(x - 2) = 0
(x - 2) is common so
(2x - 1)(x - 2) = 0
and 2x - 1 = 0 or x - 2 = 0 and now you can find x.
The last example is solved in the same way.
I would say an answer to this does not exist. I cant see any relation between these terms.
The least common multiple of 14 and 24 is 168.
The lights flash together every 168 minutes.
168 minutes = 2 hours 48 minutes.
If they flashed together at 8 AM, then they'll flash
together again at 10:48 AM.
Answer:
The perimeter is just the sum of all four sides of the square.
36cm = Side 1 + Side 2 + Side 3 + side 4
Because it's a square, all the sides are the same length, so we can rewrite this as:
36cm = 4*Side
Side = 36cm/4 = 9cm
So to find the area, we multiply a length side, by a width side.
In this case (a square), we have:
Step-by-step explanation:
Answer:
You need to add more context to the question. I cannot answer it without knowing what "These scales" are.
